## Traces and Determinants of Pseudodifferential Operators

*Simon Scott*

- Published in print:
- 2010
- Published Online:
- January 2011
- ISBN:
- 9780198568360
- eISBN:
- 9780191594748
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568360.001.0001
- Subject:
- Mathematics, Analysis

This text provides a broad account of the theory of traces and determinants on geometric algebras of differential and pseudodifferential operators over compact manifolds. Trace and determinant ... More

## Clustering of Disadvantage and Empirical Research

*Jonathan Wolff and Avner De-Shalit*

### in Disadvantage

- Published in print:
- 2007
- Published Online:
- May 2007
- ISBN:
- 9780199278268
- eISBN:
- 9780191707902
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199278268.003.0008
- Subject:
- Political Science, Political Theory

The previous chapters demonstrated that the issue of identifying the least advantaged reduces to the question of whether clustering of disadvantage can be identified among the ‘high-weight ... More

## Determinants

*Simon Scott*

### in Traces and Determinants of Pseudodifferential Operators

- Published in print:
- 2010
- Published Online:
- January 2011
- ISBN:
- 9780198568360
- eISBN:
- 9780191594748
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568360.003.0003
- Subject:
- Mathematics, Analysis

Determinants as abstract invariants have received less study in the mathematical literature than traces, on which there is an extensive literature. However, determinants can be treated in a general ... More

## Referential Function (II)

*Maximilian de Gaynesford*

### in I: The Meaning of the First Person Term

- Published in print:
- 2006
- Published Online:
- May 2006
- ISBN:
- 9780199287826
- eISBN:
- 9780191603570
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0199287821.003.0010
- Subject:
- Philosophy, Philosophy of Language

I fulfils its referential function in the deictic mode. Deictic terms fulfil their referential role by the action of making an individual salient. That is the genus to which ... More

## Working Classes Map the City

*Ira Katznelson*

### in Marxism and the City

- Published in print:
- 1993
- Published Online:
- January 2005
- ISBN:
- 9780198279242
- eISBN:
- 9780191601910
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0198279248.003.0006
- Subject:
- Political Science, Political Theory

For Marxism, the main issues of social theory within the industrial phase of capitalism focus on the formation of working classes, and this subject is best treated, in significant measure, as an ... More

## Computations, Transition Formulae, and the Local Index Formula

*Simon Scott*

### in Traces and Determinants of Pseudodifferential Operators

- Published in print:
- 2010
- Published Online:
- January 2011
- ISBN:
- 9780198568360
- eISBN:
- 9780191594748
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568360.003.0004
- Subject:
- Mathematics, Analysis

In this chapter the constructions of chapters 1 and 2 for are illustrated with explicit computations. The first part of the chapter presents various methods of computation commonly used in the ... More

## Pseudodifferential Operator Trace Formulae

*Simon Scott*

### in Traces and Determinants of Pseudodifferential Operators

- Published in print:
- 2010
- Published Online:
- January 2011
- ISBN:
- 9780198568360
- eISBN:
- 9780191594748
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568360.003.0005
- Subject:
- Mathematics, Analysis

In this chapter details of the construction of the fundamental trace functionals on pseudodifferential operators are given. The approach to traces taken here is through an analysis of the singularity ... More

## Geometric Families of Pseudodifferential Operators and Determinant Line Bundles

*Simon Scott*

### in Traces and Determinants of Pseudodifferential Operators

- Published in print:
- 2010
- Published Online:
- January 2011
- ISBN:
- 9780198568360
- eISBN:
- 9780191594748
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568360.003.0006
- Subject:
- Mathematics, Analysis

The final chapter focuses on applications of trace and determinant structures to geometric families of pseudodifferential operators. This is closely entwined with developments in QFT and string ... More

## INTIAL BOUNDARY VALUE PROBLEM IN A HALF-SPACE WITH CONSTANT COEEFICIENTS

*Sylvie Benzoni-Gavage and Denis Serre*

### in Multi-dimensional hyperbolic partial differential equations: First-order systems and applications

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780199211234
- eISBN:
- 9780191705700
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199211234.003.0004
- Subject:
- Mathematics, Applied Mathematics

This chapter drops the assumption of symmetry, or at least it does not assume the dissipativity in a classical sense. The search for a necessary condition for maximal estimates (strong well-posedness ... More

## BOUNDARY CONDITIONS FOR EULER EQUATIONS

*Sylvie Benzoni-Gavage and Denis Serre*

### in Multi-dimensional hyperbolic partial differential equations: First-order systems and applications

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780199211234
- eISBN:
- 9780191705700
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199211234.003.0014
- Subject:
- Mathematics, Applied Mathematics

The nature of an IBVP for a gas depends on the sign of the normal velocity, and on the sub- and super-sonicity. This chapter proceeds to a classification, describing which boundary conditions are ... More